The number 72944
72944 is a composite number with 20 divisors. Its prime factorisation is × 47 × 97. Divisors (20): 1, 2, 4, 8, 16, 47, 94, 97, 188, 194, 376, 388, 752, 776, 1552, 4559 … 72944.
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How to work it out
- 1
72944 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72944 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 72944 itself that is 72880, so 72944 is deficient (72880 is less than 72944). Euler's totient φ(72944) = 35328 numbers up to 72944 share no factor with it.
- 4
The digits of 72944 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72944 = 2^{4} \times 47 \times 97 \]72944 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 35328 |
| Square | 5320827136 |
| Cube | 388122414608384 |
| Square root | 270.081469 (= 4√4559) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2944 × |
72944 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand nine hundred and forty-four |
| Binary (base 2) | 10001110011110000 |
| Octal (base 8) | 216360 |
| Hexadecimal (base 16) | 11CF0 |
| Base 3 | 10201001122 |
| As time | 72944 seconds = 20 h 15 min 44 s |
Is 72944 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72944 ÷ 2 = 36472) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72944 ÷ 4 = 18236) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (72944 ÷ 8 = 9118) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72944 a prime number?
No. 72944 = × 47 × 97, so it is divisible by 2.
What are the factors of 72944?
1, 2, 4, 8, 16, 47, 94, 97, 188, 194, 376, 388, 752, 776, 1552, 4559, 9118, 18236, 36472, 72944.
What is 72944 in binary?
10001110011110000 (hexadecimal 11CF0, octal 216360).
What is the square root of 72944?
About 270.0815, exactly 4√4559.
Is 72944 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 72944?
It is a composite number with 20 divisors.